Without using a calculator, order the following expressions from least to greatest.

Question

Without using a calculator, order the following expressions from least to greatest. π/3, √8/3, √4/2

Answer 1

In order to do a problem like this, it is important to make sure that you look at the approximations for the numbers with which you are working.

Breaking down each expression:

π/3, We can take pi (3.14)/3 =1.0467 (long division)

√8/3, Finding the square root of 8 will be between 2 and 3. (closer to the 3) which then would be divided by 3 making it smaller than 1.

√4/2 : square root of 4 is 2, so the problem is 2/2=1

Putting the numbers in order from smallest to largest would be: √8/3, √4/2, π/3